Numerical research on the Sitnikov problem

Details Numerical research on the Sitnikov problem Numerical research on the Sitnikov problem

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991acasn..32..107l&link_type=abstract

(Acta Astronomica Sinica, vol. 32, no. 1, 1991, p. 107-112) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 15, Sept.

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Eccentric Orbits, Nonlinear Systems, Orbital Mechanics, Differential Equations, Liapunov Functions, Many Body Problem, Solar System

Scientific paper

The Liapunov characteristic exponent and the Poincare approaches are used here to study the Sitnikov problem. It is found that the chaotic region grows as the orbital eccentricity of the main bodies increases and that the width of the chaotic region varies as the eccentricity to the power 1/2. The results demonstrate again that the method of mapping can be used to study the secular state of celestial motions.

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